# 19. Complete the statement using the symbol < or >.  ___ 20. Add. Write the answer in lowest terms.

hustoncmk | Certified Educator

For question 19, I believe you are asking 3/8 ____ 3 /(3/5).

The first step in comparing fractions is to get a common denominator.  Then you will only need to compare the numerators.

The first thing you need to do is to eliminate the fraction in the denominator.  To do this you need to multiple by the recipricol of 3/5 which is 5/3.  If you are multiplying the denominator by 5/3 you also need to mulriply the numerator by 5/3.  So you would multiply (3x(5/3) )/ ((3/5)x(5/3)). The result is (15/3)/1 or 15/3 = 5

Your comparison is now 3/8 ____ 5. It can be seen that 3/8 is less than 5, without having to convert 5 to a fraction, but to compare both in fractions they would be 3/8 ___ 40/8. the 3 is less than 40, so you would need to use the < sign.

For question 20, to add fractions use need a common denominator.  You have been asked to add -3/8 + -4/8.  You already have a common denominator of 8, so you need to add the numerators. -3 + -4 = -7
-3/8 + -4/8 = -7/8.  To reduce to simplest term you need to determine if the numerator & denominator have any common factors.  In this case, -7 and 8 have no common factors, so -7/8 is already in simplest terms.

I hope this explanation helps you with other problems in the future.